3.14 is the ratio of 314 to 100 so it's rational.
3.14 is rational. It is 314 divided by 100, so it meets the definition of rationality, i.e. the division of two integers, the denominator not being zero.pi, on the other hand, which starts with 3.14, but then continues infinitely, such as 3.1415926535897932384626433832795... (continuing forever...), is irrational and transcendental.pi is irrational because it cannot be expressed as the ratio of two integers, the demoninator not being zero, and pi is transcendental because it cannot be expressed as the root of any polynomial with rational terms.
I assume you are talking about 3.14 in terms of the number pi. 3.14 is a common abbreviation of the number pi which is 3.14159265358979323846.... This number is irrational because it goes on infinitely and it cannot be written as a finite fraction. However, 3.14 is actually rational because it can be written as 314/10.I hope this was helpful .(this came from wiki.answers.com)
-3.14=(-314/100), so -3.14 is a rational number (since it can be expressed as p/q, with p and q being integers). If you mean -pi (which is approximately -3.14), then it is irrational. pi is irrational (for a proof, which is fairly complicated, see: http://www.lrz-muenchen.de/~hr/numb/pi-irr.html). And an irrational number times a rational number (which -1 is since it can be expressed as -1/1) is irrational. This can be proved by assuming the product is rational. Let x be a rational number, which can be expressed as m/n with m and n integers), and let y be the irrational number. Let S=xy. Assume S is rational, and can be expressed as t/u, with t and u being integers. Then: S=xy t/u=(m/n)y [Divide both sides by m/n, which is the same as multiplying by its reciprocal, n/m) (t*n)/(u*m)=y Since t, n, u, and m are integers, tn and um are integers. (t*n)/(u*m)=y implies y is rational, which is a contradiction. Therefore, xy=S is irrational.
Whoever told you that 3.14 isn't rational was pulling your chain, and you fell for it. 3.14 is the ratio of 314 to 100, and that means it's rational.
A rational number is a real number which can be expressed as a division of two integers. A real number which is not rational is called irrational. Since 3.14 = 314/100 and 314 & 100 are integers it is a rational number.
3.14 is the ratio of 314 to 100 so it's rational.
No, 3.14 is not an irrational number.
No number can be rational and irrational at the same time. 3.14 is the ratio of 314:100 and so is rational. HOWEVER, 3.14 is also a common approximation for pi, which is an irrational number. All irrational numbers have infinite, non-recurring decimals and so are often approximated by rationals.
No. It can be written as a fraction where the denominator is not 0. For example, 314/100. This makes it rational.
3.14 is a rational number. When divided by 5, another rational number, the result is still rational. In its most reduced form, we have (3.14/1)/5 = (314/100)/5 = 314/500 = 157/250 - a rational number
3.14 is rational. It is 314 divided by 100, so it meets the definition of rationality, i.e. the division of two integers, the denominator not being zero.pi, on the other hand, which starts with 3.14, but then continues infinitely, such as 3.1415926535897932384626433832795... (continuing forever...), is irrational and transcendental.pi is irrational because it cannot be expressed as the ratio of two integers, the demoninator not being zero, and pi is transcendental because it cannot be expressed as the root of any polynomial with rational terms.
I assume you are talking about 3.14 in terms of the number pi. 3.14 is a common abbreviation of the number pi which is 3.14159265358979323846.... This number is irrational because it goes on infinitely and it cannot be written as a finite fraction. However, 3.14 is actually rational because it can be written as 314/10.I hope this was helpful .(this came from wiki.answers.com)
3.14 is a rational number.natural number?The natural numbers are the counting numbers: 1, 2, 3, 4, ... (sometimes 0 is included)Is 3.14 one of these? Nowhole integer?Integers are the whole numbers: -3, -2, 0, 1, 2, ... Is 3.14 one of these? Noirrational?Irrational numbers are those numbers which cannot be expressed as one integer over (divided by) another non-zero integer: 1/2 5/8, 9/2, ... 3.14 = 314/100 = 157/50 can be expresses as one integer over another and so it is not one of these.rational?Rational numbers are those numbers which can be expressed as one integer over (divided by) another non-zero integer: 1/2 5/8, 9/2, ... 3.14 = 314/100 = 157/50 can be expresses as one integer over another and so it is one of these - yes!complexComplex numbers are of the form (x + yi) where i is the imaginary number the square root of -1 (that is i = √-1 so that i2 = -1) . x = 3.14, y=0, ie 3.14 = (3.14 + 0i), so yes, 3.14 is a complex number!(in fact all real numbers are complex numbers).
The positive integer factors of 314 are: 1, 2, 157, 314
-3.14=(-314/100), so -3.14 is a rational number (since it can be expressed as p/q, with p and q being integers). If you mean -pi (which is approximately -3.14), then it is irrational. pi is irrational (for a proof, which is fairly complicated, see: http://www.lrz-muenchen.de/~hr/numb/pi-irr.html). And an irrational number times a rational number (which -1 is since it can be expressed as -1/1) is irrational. This can be proved by assuming the product is rational. Let x be a rational number, which can be expressed as m/n with m and n integers), and let y be the irrational number. Let S=xy. Assume S is rational, and can be expressed as t/u, with t and u being integers. Then: S=xy t/u=(m/n)y [Divide both sides by m/n, which is the same as multiplying by its reciprocal, n/m) (t*n)/(u*m)=y Since t, n, u, and m are integers, tn and um are integers. (t*n)/(u*m)=y implies y is rational, which is a contradiction. Therefore, xy=S is irrational.
The positive integer factors of 314 are: 1, 2, 157, 314 The prime factors of 314 are: 2, 157